Galois Deformations and CFT

[YiqiXu]

Consider the approach proposed in the mathoverflow discussion Elementary Aspects of Galois Deformation and write a complete proof if possible.

• Prove Kronecker-Weber following this approach.

Useful references:

• Section 8.2 of Modularity lifting beyond the Taylor–Wiles method, Correction
• Part 2 of Motives and L-functions
• There are no unramified abelian extensions of Q (almost)